Search a number
-
+
115345888 = 2574611117
BaseRepresentation
bin1101110000000…
…00100111100000
322001001011210221
412320000213200
5214012032023
615240132424
72600265250
oct670004740
9261034727
10115345888
115a123089
1232767114
131ab87708
1411467960
15a1d685d
hex6e009e0

115345888 has 48 divisors (see below), whose sum is σ = 260324064. Its totient is φ = 49282560.

The previous prime is 115345883. The next prime is 115345907. The reversal of 115345888 is 888543511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115345883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102706 + ... + 103822.

It is an arithmetic number, because the mean of its divisors is an integer number (5423418).

Almost surely, 2115345888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115345888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130162032).

115345888 is an abundant number, since it is smaller than the sum of its proper divisors (144978176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115345888 is a wasteful number, since it uses less digits than its factorization.

115345888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its digits is 153600, while the sum is 43.

The square root of 115345888 is about 10739.9202976558. The cubic root of 115345888 is about 486.7814712162.

The spelling of 115345888 in words is "one hundred fifteen million, three hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 461 922 1117 1844 2234 3227 3688 4468 6454 7376 7819 8936 12908 14752 15638 17872 25816 31276 35744 51632 62552 103264 125104 250208 514937 1029874 2059748 3604559 4119496 7209118 8238992 14418236 16477984 28836472 57672944 115345888